An Elaboration of the Cai-Xu Result on (<i>p</I>, <i>q</I>)-integers
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.date.accessioned | 2024-07-05T15:38:28Z | |
| dc.date.available | 2024-07-05T15:38:28Z | |
| dc.date.issued | 2020 | |
| dc.description | Ostrovska, Sofiya/0000-0003-1842-7953 | en_US |
| dc.description.abstract | The investigation of the (p, q)-Bernstein operators put forth the problem of finding the conditions when a sequence of (p, q)-integers tends to infinity. This is crucial for justifying the convergence results pertaining to the (p, q)-operators. Recently, Cai and Xu found a necessary and sufficient condition on sequences {p(n)} and {q(n)}, where 0 < q(n) < p(n) <= 1, to guarantee that a sequence of (p(n), q(n))-integers tends to infinity. This article presents an elaborated version of their result. | en_US |
| dc.identifier.doi | 10.1007/s13370-020-00767-4 | |
| dc.identifier.issn | 1012-9405 | |
| dc.identifier.issn | 2190-7668 | |
| dc.identifier.scopus | 2-s2.0-85078948860 | |
| dc.identifier.uri | https://doi.org/10.1007/s13370-020-00767-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3117 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Afrika Matematika | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | (p, q)-Integer | en_US |
| dc.subject | (p, q)-Analogue of the Bernstein operator | en_US |
| dc.subject | Convergence | en_US |
| dc.title | An Elaboration of the Cai-Xu Result on (<i>p</I>, <i>q</I>)-integers | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ostrovska, Sofiya/0000-0003-1842-7953 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 890 | en_US |
| gdc.description.issue | 5-6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 887 | en_US |
| gdc.description.volume | 31 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | convergence | |
| gdc.oaire.keywords | Convergence and divergence of series and sequences | |
| gdc.oaire.keywords | \((p,q)\)-analogue of the Bernstein operator | |
| gdc.oaire.keywords | \((p,q)\)-integer | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
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